mathsurgery - GCSE N4

GCSE Scheme of Work Foundation skillsfor first teaching 2007-2009

Topic reference:

N4

Topic title:

Percentages

		PoS	NC level description
7a	C		Pupils understand and use proportional changes, calculating the result of any proportional change using only multiplicative methods.
7b		Understand the multiplicative nature of percentages as operators.[e.g.30% increase on £150 gives a total calculated as £(1.3 × 150) ; 20% discount on £150 gives a total calculated as £(0.8 × 150)]
7c
6a	D		Pupils are aware of which number to consider as 100% or a whole, in problems involving comparisons, and use this to evaluate one number as a fraction or a percentage of another. Pupils understand and use the equivalences between fractions, decimals and percentages and calculate…
6b
6c		Convert simple fractions of a whole to percentages of the whole and vice-versa.[e.g. analysing diets, budgets, costs of running, maintaining and owning a car]
5a	E	Solve simple percentage problems including increase and decrease. [e.g. VAT, rates of inflation, income tax, discounts]	Pupils calculate fractional or percentage parts of quantities or measurements, using a calculator when appropriate. Pupils reduce a fraction to its simplest form, by cancelling common factors…
5b		Use percentage in real-life situations. [e.g. commerce and business, rates of inflation, VAT and interest rates]
5c
4a	F		Pupils recognise approximate proportions of a whole and use simple fractions and percentages to describe these.
4b		… interpret percentage as the operator ‘So many hundredths of’. [e.g. 15% of Y means ×Y ]
4c
3a	G		Pupils begin to use decimal notation. Pupils use simple fractions that are several parts of a whole and recognise when two simple fractions are equivalent
3b		Understand that percentage means number of parts per hundred and use this to compare proportions… [e.g. 10% means 10 parts per 100]
3c

GCSE Scheme of Work Higher skillsfor first teaching 2007-2009

Topic reference:

N3

Topic title:

Percentages

		PoS	NC level description
10a	A*
10b
10c
9a	A
9b		Draw on their knowledge of operations and inverse operations (including powers and roots) … to solve problems and word problems, including those involving repeated proportional change, percentages and reverse percentages… within a particular Situation.
9c
8a	B	Use calculators for reverse percentage calculations by doing an appropriate division.	Pupils choose to use fractions or percentages to solve problems involving repeated proportional changes, or the calculation of the original quantity given the result of a proportional change.
8b		Calculate an original amount when given the transformed amount after a percentage change;reverse percentage problems.[e.g.given that a meal in a restaurant costs £36 with VAT at 17.5%, its price before VAT is calculated as £()]
8c
7a	C		Pupils understand and use proportional changes, calculating the result of any proportional change using only multiplicative methods.
7b		Understand the multiplicative nature of percentages as operators.[e.g.30% increase on £150 gives a total calculated as £(1.3 × 150) ; 20% discount on £150 gives a total calculated as £(0.8 × 150)]
7c
6a	D		Pupils are aware of which number to consider as 100% or a whole, in problems involving comparisons, and use this to evaluate one number as a fraction or a percentage of another. Pupils understand and use the equivalences between fractions, decimals and percentages and calculate…
6b
6c		Convert simple fractions of a whole to percentages of the whole and vice-versa.[e.g. analysing diets, budgets, costs of running, maintaining and owning a car]